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A072119
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Least k such that k(k+1)(k+2)...(k+n) divides C(2k,k).
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0
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1, 15, 42, 153, 153, 209, 943, 1989, 3318, 11725, 14322, 30191, 96113
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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MATHEMATICA
| g[n_] := Block[{k = 1}, While[ !IntegerQ[ Binomial[2k, k] / Product[i, {i, k, k + n}]], k++ ]; Return[k]]; Table[ a[n], {n, 1, 13}]
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PROG
| (PARI) for(n=1, 8, s=1; while(binomial(2*s, s)%prod(i=0, n, (s+i))>0, s++); print1(s, ", "))
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CROSSREFS
| Sequence in context: A173351 A051867 A008976 * A069127 A137183 A173873
Adjacent sequences: A072116 A072117 A072118 * A072120 A072121 A072122
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 19 2002
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EXTENSIONS
| More terms from Naohiro Nomoto (n_nomoto(AT)yabumi.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 21 2002
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